Pith Number

pith:NG4GZKSY

pith:2024:NG4GZKSYKUTZI6RHNFQY3DMYUL

not attested not anchored not stored refs pending

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem

Samuel J. Harris

arxiv:2412.19405 v1 · 2024-12-27 · quant-ph · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NG4GZKSYKUTZI6RHNFQY3DMYUL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T09:54:35.041124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b86caa585527947a2769618d8d98a2dffc67e1a7b8b18a6b5f692c3a9c905c

Aliases

arxiv: 2412.19405 · arxiv_version: 2412.19405v1 · doi: 10.48550/arxiv.2412.19405 · pith_short_12: NG4GZKSYKUTZ · pith_short_16: NG4GZKSYKUTZI6RH · pith_short_8: NG4GZKSY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NG4GZKSYKUTZI6RHNFQY3DMYUL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 69b86caa585527947a2769618d8d98a2dffc67e1a7b8b18a6b5f692c3a9c905c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b84f6bf8b714e78ab7ee02922e207fe0fb1199fb644389f99e895bebc6507283",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-12-27T02:05:37Z",
    "title_canon_sha256": "166f8059b63d121f37f192500a2df2e23e469afe154227e4ccb5a65ee5aed7df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19405",
    "kind": "arxiv",
    "version": 1
  }
}